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Finding the Fourth Proportional to 10,441.20, 15,667.84 and 7,057.04

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Solution

The fourth proportional to 10,441.20, 15,667.84 and 7,057.04 is: 10,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.20 : 15,667.84 = 7,057.04 : x
  2. Step 2: Convert to fraction form
    10,441.20/15,667.84 = 7,057.04/x
  3. Step 3: Cross multiply
    10,441.20x = 15,667.84 × 7,057.04
  4. Step 4: Simplify right side
    10,441.20x = 110,568,573.59
  5. Step 5: Solve for x
    x = 110,568,573.59/10,441.20
  6. Step 6: Final answer
    x = 10,589.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.